Open AccessBackstepping control of multi‐input non‐linear systems
Author(s) -
Chung ChienWen,
Chang Yaote
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2012.0529
Subject(s) - backstepping , control theory (sociology) , controller (irrigation) , computer science , lyapunov stability , constant (computer programming) , block (permutation group theory) , stability (learning theory) , lyapunov function , moment (physics) , control (management) , control engineering , nonlinear system , mathematics , adaptive control , engineering , artificial intelligence , physics , geometry , quantum mechanics , machine learning , classical mechanics , agronomy , biology , programming language
A methodology of designing the block backstepping controller for a class of multi‐input non‐linear perturbed systems is proposed to solve the regulation problem in accordance with the Lyapunov stability theorem. The designed constant gains, which are embedded in the virtual input controllers, can effectively overcome more general mismatched perturbations than some works can. Furthermore, the asymptotical stability can be achieved by the proposed controller. Finally, an example of controlling the control‐moment‐gyro devices is used to demonstrate the feasibility of the proposed methodology.